SOLUTION: Last year,there were 375 volunteers for a sports event. This year, the number of male volunteers increased by 20% and the number of female volunteers increased by 30%. In the end,

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Last year,there were 375 volunteers for a sports event. This year, the number of male volunteers increased by 20% and the number of female volunteers increased by 30%. In the end,       Log On


   

Question 984183: Last year,there were 375 volunteers for a sports event. This year, the number of male volunteers increased by 20% and the number of female volunteers increased by 30%. In the end, there was an equal number of female and male volunteers this year . how many more female volunteers were there this year than last year?
Found 2 solutions by srinivas.g, macston:
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x be the no of female volunteers last year
and y be the no of male volunteers last year
x+y= 375
no of male volunteers increased by 20 %
so no of male volunteers this year = y+20 % of y
= y+0.2 y
=1.2y
similarly no of female vounteers this year = x+0.3x = 1.3x
1.3x =1.2 y
+1.3x%2F1.2+=y

but x+y =375
+x%2B%281.3x%2F1.2%29+=375
+%281.2x%2B1.3x%29%2F1.2+=375
+1.5x%2F1.2+=375
+1.5+x=+375%2A1.2
1.5x+=450
+x=300
no of female volunteers last year = 300
this year , increse = 20 % of 300
= 60
result:60

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
M=number of males last year; F=number of females last year
.
F+M=375
F=375-M
.
1.2M=1.3F
1.2(375-F)=1.3F
450-1.2F=1.3F
450=2.5F
180=F There were 180 female volunteers last year.
.
(0.30)F=(0.30)(180)=54
ANSWER: There were 54 more female volunteers this year than last year.